3/x+4/x-7/2x=3

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Solution for 3/x+4/x-7/2x=3 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3/x-((7/2)*x)+4/x = 3 // - 3

3/x-((7/2)*x)+4/x-3 = 0

(-7/2)*x+3/x+4/x-3 = 0

7*x^-1-7/2*x^1-3*x^0 = 0

(7*x^0-7/2*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(7*x^0-7/2*x^2-3*x^1) = 0

x^1

(-7/2)*x^2-3*x+7 = 0

(-7/2)*x^2-3*x+7 = 0

DELTA = (-3)^2-(4*7*(-7/2))

DELTA = 107

DELTA > 0

x = (107^(1/2)+3)/(2*(-7/2)) or x = (3-107^(1/2))/(2*(-7/2))

x = (107^(1/2)+3)/(-7) or x = (3-107^(1/2))/(-7)

x in { (107^(1/2)+3)/(-7), (3-107^(1/2))/(-7)} 

x in { (107^(1/2)+3)/(-7), (3-107^(1/2))/(-7) }

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